x+22=5x-34

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Solution for x+22=5x-34 equation:


Simplifying
x + 22 = 5x + -34

Reorder the terms:
22 + x = 5x + -34

Reorder the terms:
22 + x = -34 + 5x

Solving
22 + x = -34 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
22 + x + -5x = -34 + 5x + -5x

Combine like terms: x + -5x = -4x
22 + -4x = -34 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + -4x = -34 + 0
22 + -4x = -34

Add '-22' to each side of the equation.
22 + -22 + -4x = -34 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = -34 + -22
-4x = -34 + -22

Combine like terms: -34 + -22 = -56
-4x = -56

Divide each side by '-4'.
x = 14

Simplifying
x = 14

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